Small squarisquariapeirogonal tiling

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Small squarisquariapeirogonal tiling
Rank3
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymSossa
Coxeter diagramx4/3x4o∞*a ()
Elements
FacesMN squares, MN octagrams, 4N apeirogons
Edges4MN+4MN
Vertices4MN
Vertex figureIsosceles trapezoid, edge lengths 2, 2-2, 2, 2-2
Measures (edge length 1)
Vertex density
Related polytopes
ArmyTosquat
RegimentSossa
ConjugateGreat squarisquariapeirogonal tiling
Abstract & topological properties
Flag count32MN
Properties
SymmetryR3
ConvexNo
NatureTame

The small squarisquariapeirogonal tiling, or sossa, is a non-convex uniform tiling of the Euclidean plane. 1 square, 1 apeirogon, and 2 octagrams join at each vertex of this tiling. It can also be represented as x4/3x∞x4/3x *aØ*c *bØ*d (the omnitruncate of a quadrilateral domain).

Related tilings[edit | edit source]

The small squarisquariapeirogonal tiling is the colonel of a three-member regiment that also includes the great squarisquariapeirogonal tiling and the squarisquare tiling.

External links[edit | edit source]